Elementary matrix reduction over Bezout duo rings

Published 19 Feb 2016 in math.RA | (1602.06094v1)

Abstract: A ring $R$ is an elementary divisor ring if every matrix over $R$ admits a diagonal reduction. We further explore various stable like conditions on a bezout duo-domain under which it is an elementary divisor domain. Many known results are thereby generalized to much wider class of rings.

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